Peel and section 6 oranges over a bowl, setting 3 cups sections aside. Squeeze juice from membranes of remaining sectioned oranges and orange halves to measure 2/3 cup. Discard membranes.
Combine juice, brown sugar, and cloves in a medium nonaluminum saucepan; bring to a boil. Add cherries; reduce heat, and simmer 5 minutes. Remove from heat, and stir in butter. Combine cherry mixture and reserved 3 cups orange sections in a bowl, and serve at room temperature.
Note: Each serving provides 60 micrograms of folate.